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wolverine [178]
3 years ago
7

Historical data for a local manufacturing company show that the average number of defects per product produced is 2. In addition

, the number of defects per unit is distributed according to a Poisson distribution. What is the probability that there will be a total of 7 defects on four units
Mathematics
1 answer:
charle [14.2K]3 years ago
8 0

Answer:

The probability that there will be a total of 7 defects on four units  is 0.14.

Step-by-step explanation:

A Poisson distribution describes the probability distribution of number of success in a specified time interval.

The probability distribution function for a Poisson distribution is:

P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}, x=0,1,2,3,...

Let <em>X</em> = number of defects in a unit produced.

It is provided that there are, on average, 2 defects per unit produced.

Then in 4 units the number of defects is, (2\times4)=8.

Compute the probability of exactly 7 defects in 4 units as follows:

P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}\\P(X=7)=\frac{e^{-8}8^{7}}{7!}\\=\frac{0.0003355\times2097152}{5040}\\ =0.1396\\\approx0.14

Thus, the probability of exactly 7 defects in 4 units is 0.14.

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Kyla put 4 ounces of milk in 2 cups of coffee for her parents. How much milk would she need for 16 cups of coffee?A: 1cB: 1qtC:2
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Kyla put 4 ounces of milk in 2 cups of coffee for her parents. How much milk would she need for 16 cups of coffee?



A: 1c

B: 1qt

C:2c

D:2qt​

______________

4 ounces of milk in 2 cups of coffee for her parents.

4/2= 2 ounces of milk per cup

___________________

for 16 cups

Do you know how many ounces correspond to c or qt?

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________________

32 ounces = 1 qt

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Do you have any questions regarding the solution?

If you don’t need further explanation on this question, we can end the session.

I want to remind you this answer will always be saved in your profile. I’d really appreciate you letting me know how I did by rating our session after you exit. Thanks and have a great day!

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